[Courbes aléatoires par soudure conforme]
On construit une famille aléatoire conformément invariante de courbes fermées dans le plan par soudure d'un cercle unité donné en terme d'exponentielle d'un champ libre gaussien. On conjecture que nos courbes sont localement reliées à pour .
We construct a conformally invariant random family of closed curves in the plane by welding of random homeomorphisms of the unit circle given in terms of the exponential of Gaussian Free Field. We conjecture that our curves are locally related to for .
Publié le :
@article{CRMATH_2010__348_5-6_257_0,
author = {Astala, Kari and Jones, Peter and Kupiainen, Antti and Saksman, Eero},
title = {Random curves by conformal welding},
journal = {Comptes Rendus. Math\'ematique},
pages = {257--262},
publisher = {Elsevier},
volume = {348},
number = {5-6},
year = {2010},
doi = {10.1016/j.crma.2009.12.014},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2009.12.014/}
}
TY - JOUR AU - Astala, Kari AU - Jones, Peter AU - Kupiainen, Antti AU - Saksman, Eero TI - Random curves by conformal welding JO - Comptes Rendus. Mathématique PY - 2010 SP - 257 EP - 262 VL - 348 IS - 5-6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2009.12.014/ DO - 10.1016/j.crma.2009.12.014 LA - en ID - CRMATH_2010__348_5-6_257_0 ER -
%0 Journal Article %A Astala, Kari %A Jones, Peter %A Kupiainen, Antti %A Saksman, Eero %T Random curves by conformal welding %J Comptes Rendus. Mathématique %D 2010 %P 257-262 %V 348 %N 5-6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2009.12.014/ %R 10.1016/j.crma.2009.12.014 %G en %F CRMATH_2010__348_5-6_257_0
Astala, Kari; Jones, Peter; Kupiainen, Antti; Saksman, Eero. Random curves by conformal welding. Comptes Rendus. Mathématique, Tome 348 (2010) no. 5-6, pp. 257-262. doi : 10.1016/j.crma.2009.12.014. http://www.numdam.org/articles/10.1016/j.crma.2009.12.014/
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Cité par Sources :
☆ We thank M. Bauer, D. Bernard, S. Rohde and S. Smirnov for discussions and L. Dubois for help in French.
